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Finding the Fourth Proportional to 32,288.96, 48,419.78 and 10,096.38

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Solution

The fourth proportional to 32,288.96, 48,419.78 and 10,096.38 is: 15,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288.96 : 48,419.78 = 10,096.38 : x
  2. Step 2: Convert to fraction form
    32,288.96/48,419.78 = 10,096.38/x
  3. Step 3: Cross multiply
    32,288.96x = 48,419.78 × 10,096.38
  4. Step 4: Simplify right side
    32,288.96x = 488,864,447.91
  5. Step 5: Solve for x
    x = 488,864,447.91/32,288.96
  6. Step 6: Final answer
    x = 15,140.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.